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Mathematics, Volume 10, Issue 16

August-2 2022 - 204 articles

Cover Story: Riemannian geometry was first put forward in generality by Bernhard Riemann in the 19th century. In turn, Solomon Hadamard made significant contributions to Riemannian differential geometry and partial differential equations. The following theorem bearing his name is well known: A complete, simply connected Riemannian manifold of nonpositive sectional curvature is diffeomorphic to the Euclidean space. Therefore, it is called a Hadamard manifold. The generalizations of Riemannian manifolds were used by Albert Einstein in the General Theory of Relativity. In our article, we prove several Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as Liouville-type theorems for Killing-Yano, symmetric Killing and harmonic tensors on Hadamard manifolds. View this paper
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Articles (204)

  • Article
  • Open Access
6 Citations
2,295 Views
32 Pages

22 August 2022

Essential to the design and development of circular contact mode capacitive pressure sensors is the ability to accurately predict the contact radius, maximum stress, and shape of a laterally loaded circular membrane in frictionless contact with a con...

  • Article
  • Open Access
26 Citations
3,654 Views
19 Pages

22 August 2022

In the field of engineering, time-delay is a typical occurrence. In reality, the inner dynamics of many industrial processes are impacted by delay or after-effect events. This paper discusses the identification of continuous-time fractional order sys...

  • Feature Paper
  • Article
  • Open Access
7 Citations
2,830 Views
13 Pages

Optimization of Open Queuing Networks with Batch Services

  • Elena Stankevich,
  • Igor Tananko and
  • Michele Pagano

22 August 2022

In this paper, open queuing networks with Poisson arrivals and single-server infinite buffer queues are considered. Unlike traditional queuing models, customers are served (with exponential service time) in batches, so that the nodes are non-work-con...

  • Article
  • Open Access
3 Citations
1,972 Views
26 Pages

Tail Index Estimation of PageRanks in Evolving Random Graphs

  • Natalia Markovich,
  • Maksim Ryzhov and
  • Marijus Vaičiulis

22 August 2022

Random graphs are subject to the heterogeneities of the distributions of node indices and their dependence structures. Superstar nodes to which a large proportion of nodes attach in the evolving graphs are considered. In the present paper, a statisti...

  • Article
  • Open Access
2 Citations
2,212 Views
18 Pages

22 August 2022

Narrowband Internet of Things (NB-IoT) is one of the low-power wide-area network technologies that aim to support enormous connection, deep coverage, low power consumption, and low cost. Therefore, low cost of implementation and maintenance is one of...

  • Article
  • Open Access
3 Citations
3,149 Views
21 Pages

Influence of the Algorithmization Process on the Mathematical Competence: A Case Study of Trainee Teachers Assessing ABN- and CBC-Instructed Schoolchildren by Gamification

  • José Carlos Piñero Charlo,
  • Rocío Noriega Bustelo,
  • María del Carmen Canto López and
  • María Teresa Costado Dios

22 August 2022

In this manuscript, schoolchild mathematical competencies have been assessed by using educational gamification methodologies; specifically, Educational Escape Rooms (EER). To ease the interpretation of results, Spanish schoolchildren trained by using...

  • Review
  • Open Access
7 Citations
3,420 Views
43 Pages

22 August 2022

Approximation of piecewise linear and generalized functions is an important and difficult problem. These functions are widely used in mathematical modeling of various processes and systems, such as: automatic control theory, electrical engineering, r...

  • Article
  • Open Access
8 Citations
1,923 Views
35 Pages

Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object

  • Xiaodong Lv,
  • Guangming Zhang,
  • Gang Wang,
  • Mingxiang Zhu,
  • Zhihan Shi,
  • Zhiqing Bai and
  • Igor V. Alexandrov

22 August 2022

This paper contains two parts: numerical analyses and a control method. The numerical analyses of a hypersonic flying object’s aerodynamic heating environment are based on three different two-dimensional outflow fields via finite element calcul...

  • Article
  • Open Access
9 Citations
2,594 Views
17 Pages

22 August 2022

In this work, we emphasise the dynamical study of spreading COVID-19 in Bangladesh. Considering the uncertainty caused by the limited coronavirus (COVID-19) information, we have taken the modified Susceptible-Asymptomatic-Infectious-Hospitalised-Reco...

  • Article
  • Open Access
40 Citations
5,046 Views
23 Pages

A Hybrid Sparrow Search Algorithm of the Hyperparameter Optimization in Deep Learning

  • Yanyan Fan,
  • Yu Zhang,
  • Baosu Guo,
  • Xiaoyuan Luo,
  • Qingjin Peng and
  • Zhenlin Jin

22 August 2022

Deep learning has been widely used in different fields such as computer vision and speech processing. The performance of deep learning algorithms is greatly affected by their hyperparameters. For complex machine learning models such as deep neural ne...

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Mathematics - ISSN 2227-7390